A105598 Partial sums of central numbers for a Moebius-binomial triangle.

1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 24, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 39, 39, 40, 41, 42, 43, 44, 45, 45, 46, 47, 48, 49, 50, 51, 52, 52, 53, 54, 54, 55, 56, 57, 58, 58, 59, 60, 61, 62

Offset: 0

Author

Paul Barry, Apr 15 2005

Keywords

• easy
• nonn

Comments

Partial sums of A105597.

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Programs

Mathematica

Accumulate[Table[Binomial[Abs[MoebiusMu[x]],Abs[MoebiusMu[Floor[x/2]]]],{x,0,80}]] (* Harvey P. Dale, Mar 13 2014 *)

Formula

a(n)=sum{k=0..n, binomial(abs(mu(k)), abs(mu(floor(k/2))))}